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Finding the Fourth Proportional to 2,842.64, 3,922.94 and 1,723.40

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Solution

The fourth proportional to 2,842.64, 3,922.94 and 1,723.40 is: 2,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.64 : 3,922.94 = 1,723.40 : x
  2. Step 2: Convert to fraction form
    2,842.64/3,922.94 = 1,723.40/x
  3. Step 3: Cross multiply
    2,842.64x = 3,922.94 × 1,723.40
  4. Step 4: Simplify right side
    2,842.64x = 6,760,794.80
  5. Step 5: Solve for x
    x = 6,760,794.80/2,842.64
  6. Step 6: Final answer
    x = 2,378.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.